Publications related to Sampling method reconstruction method and devices for sampling and/or reconstructing multidimensional signals

Shapes from Pixels

In today's digital world, sampling is at the heart of any signal acquisition device. Imaging devices are ubiquitous examples that capture two-dimensional visual signals and store them as the pixels of discrete images. The main concern is whether and how th ...

EPFL2016

Sampling and Reconstruction of Shapes with Algebraic Boundaries

Martin Vetterli, Arash Amini, Mitra Fatemi

We present a sampling theory for a class of binary images with finite rate of innovation (FRI). Every image in our model is the restriction of

\mathds{1}_{\{p\leq0\}}

to the image plane, where

\mathds{1}

denotes the indicator function and

p

is some r ...

2016

Sampling Sparse Signals on the Sphere: Algorithms and Applications

Yue Lu, Ivan Dokmanic

We propose a sampling scheme that can perfectly reconstruct a collection of spikes on the sphere from samples of their lowpass-filtered observations. Central to our algorithm is a generalization of the annihilating filter method, a tool widely used in arra ...

Institute of Electrical and Electronics Engineers2016

Influence of loading history on mechanical properties of biomaterials

Tom Charles Maurice Walet

It is known that the mechanical response to load or displacement of a biological tissue can highly vary from one cycle to the next. Therefore, in order to establish a reference state for repeating data measurements, tissues are subjected to a preliminary s ...

2016

Compressed delay-and-sum beamforming for ultrafast ultrasound imaging

Jean-Philippe Thiran, Yves Wiaux, Rafael Eduardo Carrillo Rangel, Adrien Georges Jean Besson, Olivier Bernard

The theory of compressed sensing (CS) leverages upon structure of signals in order to reduce the number of samples needed to reconstruct a signal, compared to the Nyquist rate. Although CS approaches have been proposed for ultrasound (US) imaging with prom ...

Ieee2016

An Algorithm for Formation-Based Chemical Plume Tracing Using Robotic Marine Vehicles

Alcherio Martinoli, Jorge Miguel Dias Almeida Rodrigues Soares, António Pedro Rodrigues de Aguiar

Robotic chemical plume tracing is a growing area of research, with envisioned real-world applications including pollution tracking, search and rescue, and ecosystem identification. However, following a chemical signal in the water is not an easy task due t ...

IEEE2016

Random sampling of bandlimited signals on graphs

Pierre Vandergheynst, Rémi Gribonval, Gilles Puy, Nicolas Tremblay

We study the problem of sampling

k

-bandlimited signals on graphs. We propose two sampling strategies that consist in selecting a small subset of nodes at random. The first strategy is non-adaptive, \ie, independent of the graph structure, and its perform ...

2015

Generalized Poisson Summation Formula for Tempered Distributions

Michaël Unser, Quy Ha Nguyen

The Poisson summation formula (PSF), which relates the sampling of an analog signal with the periodization of its Fourier transform, plays a key role in the classical sampling theory. In its current forms, the formula is only applicable to a limited class ...

IEEE2015

An overview of robust compressive sensing of sparse signals in impulsive noise

Alonso Ramirez Manzanares, Rafael Eduardo Carrillo Rangel

While compressive sensing (CS) has traditionally relied on L2 as an error norm, a broad spectrum of applications has emerged where robust estimators are required. Among those, applications where the sampling process is performed in the presence of impulsiv ...

2015

MATHICSE Technical Report : An algorithm for computing minimal Geršgorin sets

Agnieszka Katarzyna Miedlar

The first algorithms for computing the minimal Geršgorn set were developed by Varga et all. in [17] for the use on small and medium size (dense) matrices. Here, we first discuss the existing methods and present a new approach based on the modified Newton’s ...

MATHICSE2015

Sampling method reconstruction method and devices for sampling and/or reconstructing multidimensional signals

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Shapes from Pixels

Sampling and Reconstruction of Shapes with Algebraic Boundaries

Sampling Sparse Signals on the Sphere: Algorithms and Applications

Influence of loading history on mechanical properties of biomaterials

Compressed delay-and-sum beamforming for ultrafast ultrasound imaging

An Algorithm for Formation-Based Chemical Plume Tracing Using Robotic Marine Vehicles

Random sampling of bandlimited signals on graphs

Generalized Poisson Summation Formula for Tempered Distributions

An overview of robust compressive sensing of sparse signals in impulsive noise

MATHICSE Technical Report : An algorithm for computing minimal Geršgorin sets

Shapes from Pixels

Sampling and Reconstruction of Shapes with Algebraic Boundaries

Sampling Sparse Signals on the Sphere: Algorithms and Applications

Influence of loading history on mechanical properties of biomaterials

Compressed delay-and-sum beamforming for ultrafast ultrasound imaging

An Algorithm for Formation-Based Chemical Plume Tracing Using Robotic Marine Vehicles

Random sampling of bandlimited signals on graphs

MATHICSE Technical Report : An algorithm for computing minimal Geršgorin sets

Generalized Poisson Summation Formula for Tempered Distributions

An overview of robust compressive sensing of sparse signals in impulsive noise